Construct a New System as a Combining Function for the LFSR in the Stream Cipher Systems Using Multiplicative Cyclic Group

Authors

  • Mithaq Abdulkareem Abdulwahed Department of Mathematics, Collage of Science, University of Baghdad, Baghdad, Iraq
  • Ayad G. Naser Al-Shammari Directorate General for Vocational Education Ministry of Education, Baghdad, Iraq

Keywords:

Cryptography, LFSR, Stream Cipher, Multiplicative Cyclic Group

Abstract

In this paper, we construct a new mathematical system as Multiplicative Cyclic Group (MCG), called a New Digital Algebraic Generator (NDAG) Unit, which would generate digital sequences with good statistical properties. This new Unit can be considered as a new basic unit of stream ciphers.

A (NDAG) system can be constructed from collection of (NDAG) units using a Boolean function as a combining function of the system. This system could be used in cryptography as like as Linear Feedback Shift Register (LFSR) unit. This unit is basic component of  a stream cipher system.

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Published

2018-08-30

Issue

Section

Mathematics

How to Cite

Construct a New System as a Combining Function for the LFSR in the Stream Cipher Systems Using Multiplicative Cyclic Group. (2018). Iraqi Journal of Science, 59(3B), 1490-1500. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/470

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